Equilibrium states of intermediate entropies

2020/06/11 by Peng Sun, Sun, Peng · 1 citation
Mathematics · Physics and Astronomy · #37A35 #37D35 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2006.06358

openalex publication_date 2020/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explore an approach to the conjecture of Katok on intermediate entropies that based on uniqueness of equilibrium states, provided the entropy function is upper semi-continuous. As an application, we prove Katok's conjecture for Mañé diffeomorphisms.

Citations

• Ergodic optimization in dynamical systems

Cited by

• Entropy Flexibility of Dynamical Systems

Related

• Equilibrium states for Mañé diffeomorphisms
• Ergodic measures of intermediate entropies for dynamical systems with the approximate product property
• Entropy Flexibility of Dynamical Systems
• Unique equilibrium states, large deviations and Lyapunov spectra for the Katok Map
• Measures of Intermediate Entropies for Skew Product Diffeomorphisms